{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "from sklearn import linear_model\n",
    "import matplotlib.pyplot as plt\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "       Brain     Body\n",
      "0      3.385    44.50\n",
      "1      0.480    15.50\n",
      "2      1.350     8.10\n",
      "3    465.000   423.00\n",
      "4     36.330   119.50\n",
      "5     27.660   115.00\n",
      "6     14.830    98.20\n",
      "7      1.040     5.50\n",
      "8      4.190    58.00\n",
      "9      0.425     6.40\n",
      "10     0.101     4.00\n",
      "11     0.920     5.70\n",
      "12     1.000     6.60\n",
      "13     0.005     0.14\n",
      "14     0.060     1.00\n",
      "15     3.500    10.80\n",
      "16     2.000    12.30\n",
      "17     1.700     6.30\n",
      "18  2547.000  4603.00\n",
      "19     0.023     0.30\n",
      "20   187.100   419.00\n",
      "21   521.000   655.00\n",
      "22     0.785     3.50\n",
      "23    10.000   115.00\n",
      "24     3.300    25.60\n",
      "25     0.200     5.00\n",
      "26     1.410    17.50\n",
      "27   529.000   680.00\n",
      "28   207.000   406.00\n",
      "29    85.000   325.00\n",
      "..       ...      ...\n",
      "32  6654.000  5712.00\n",
      "33     3.500     3.90\n",
      "34     6.800   179.00\n",
      "35    35.000    56.00\n",
      "36     4.050    17.00\n",
      "37     0.120     1.00\n",
      "38     0.023     0.40\n",
      "39     0.010     0.25\n",
      "40     1.400    12.50\n",
      "41   250.000   490.00\n",
      "42     2.500    12.10\n",
      "43    55.500   175.00\n",
      "44   100.000   157.00\n",
      "45    52.160   440.00\n",
      "46    10.550   179.50\n",
      "47     0.550     2.40\n",
      "48    60.000    81.00\n",
      "49     3.600    21.00\n",
      "50     4.288    39.20\n",
      "51     0.280     1.90\n",
      "52     0.075     1.20\n",
      "53     0.122     3.00\n",
      "54     0.048     0.33\n",
      "55   192.000   180.00\n",
      "56     3.000    25.00\n",
      "57   160.000   169.00\n",
      "58     0.900     2.60\n",
      "59     1.620    11.40\n",
      "60     0.104     2.50\n",
      "61     4.235    50.40\n",
      "\n",
      "[62 rows x 2 columns]\n"
     ]
    },
    {
     "data": {
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ERx6ZaN93H1x2WXTjkcyX1n1WnHN1ZlYFFAPPAYavnoSrK12B+CWdDUB7M+uYVF3pGpyL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\n52FwaPXaP/8JJ50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U6guwEIDjjy/eLaS89loVJ53Um/r6pl+/urpal4JERGS/qLKS4xIb\ntTVdLVm8eHHQfgW/Rf4o4Fp8uHkbmEFBwSTAceKJidDRvbvfKn/dupZfP16NERER2VcKKzkusVFb\n8o6yvlry5JNzQscG40PKQGA80B2YRH395kZf6RysXdu61y8uLt6P0YuIiCis5Lz4Rm0FBY2rJTAJ\nOJVXXllNp06dg96LgCJgLlAFOCARVCZN8kGlNa9fUDCJ4cNH6RKQiIjsN4WVPBCLzeD0079Ioloy\nHl89eZb6+t/xwQeb6NTpCOBqfOB4H2gcMpyDqVObf/2hQ8PVmPEMHTqQWGxGimYkIiL5RGElDxQV\nFfGzn10ftB7CV03m4qsofm3Jvffew6BBp+KfjNzl0699+OEPd6umNPX6CxbMpaqqinnz5lFVVcWC\nBXO1Y62IiLQJ3Q2UJxJrSwpoXDXxa0vmzDmH55+/sNHX+JDymVa/R8+ePXXZR0RE2pwqKzmuvLyc\nm266ibVr13LmmYNp1+4K4A6S7/R55JFOn37NnDlr91hNERERSRdVVnLU6tWrGTDgDDZv3hg62g5o\nAH4M/ARooL4+eeO2Ar72tYZWPQ9IREQkHVRZyVE+qHxCeNdaKAQG4TeAa0j6ineAR4FOwKnagVZE\nRDKGKis5qLy8PKioNN5V1t+K3FwAOSbUZzz19bdTXv5j7UArIiKRU2UlBy1ZsiT4LHlX2eSgYvi1\nK2FnBb/6O4K0A62IiEQtp8KKmV1tZmvM7GMzW2xmX4p6TFE4+uijg88WAeXN9Dor1CdsYfDr+4B2\noBURkejlzGUgM/sO8FvgcmApUAaUm1kv59ymSAeXZkcddRS+anIxsDPp7IvAW8BrQFf8c4AcPrws\nJL6zbUHBrxk6VDvQiohI9HImrODDyb3OuYcBzOwKYDRwKXBblANLt3bt2uHDyqGho1vwu8seAGwi\nvjYF+gS/fvrVQA1Dh47SDrQiIpIRciKsmNmBQAnwq/gx55wzswrg9MgGFpH58+fj7/aZHjraEbgb\nH0yeJnEZaAVnnnkWEydeRVFREbt27aK4uFgVFRERyRg5EVaAzvitWTcmHd8I9E7/cKJ11113BZ8l\nL7CNB5TpwLcAeOqppxg2bFiaRiYiIrL3cmqBrXgNDfE9VJpbPPt/wDUMGnSWgoqIiGS8XKmsbALq\n8StGw7oCG1r6wrKyMgoLCxsdKy0tpbS0tE0HmH7taHrxbDtgC0cc0ZXZs5+IcHwiIpINYrEYsVis\n0bG6urq0jsFcjjwExswWA0ucc5OCtuG3bp3mnLu9if59gWXLli2jb9++6R1sinXs2JGtW7fid6p9\nJXTGt83asXnzJm2lLyIi+6SyspKSkhKAEudcZarfL1cqKwB3Ag+a2TISty4fAjwY5aCisGXLFswO\nANYAt+M3eHsfuAUooKFhV5TDExER2Ss5E1acczPNrDNwE/7yzyvAcOfcv6MdWTRGjx7B3LkL8A8t\njCtg9OgRUQ1JRERkn+RMWAFwzt0D3BP1ODLBnDlzACgsLGTLli107Ngx7dcYRURE2kJOhRXZnQKK\niIhkO926LCIiIhlNYUVEREQymsKKiIiIZDSFFREREcloCisiIiKS0RRWREREJKMprIiIiEhGU1gR\nERGRjKawIiIiIhlNYUVEREQymsKKiIiIZDSFFREREcloCisiIiKS0RRWREREJKMprIiIiEhGU1gR\nERGRjKawIiIiIhlNYUVEREQymsKKiIiIZDSFFREREcloCisiIiKS0RRWREREJKMprIiIiEhGU1gR\nERGRjKawIiIiIhlNYUVEREQymsJKHojFYlEPIS00z9yieeaWfJkn5Ndc0yVlYcXMfmZmL5rZR2ZW\n00yfY81sbtBng5ndZmbtkvqcbGaLzOxjM1trZj9u4nXONrNlZvaJmVWZ2XdTNa9slC9/cTTP3KJ5\n5pZ8mSfk11zTJZWVlQOBmcDvmzoZhJJ5wAHAQOC7wMXATaE+hwHlwBqgL/BjYLKZXRbq0wOYAzwD\nnAL8DrjfzIa18XxEREQkAgek6oWdc78EaKHKMRw4EfiKc24T8E8zuxH4jZlNds7tAsbhQ8/3gvYK\nMzsN+A/g/uB1rgTedM79JGivNLMzgTLg6VTMTURERNInyjUrA4F/BkElrhwoBL4Q6rMoCCrhPr3N\nrDDUpyLptcuB09t+yCIiIpJuKaustEI3YGPSsY2hc68Gv77ZQp+6Fl6no5l1cM5tb+b9DwJYsWLF\n3o88y9TV1VFZWRn1MFJO88wtmmduyZd5Qn7MNfR/50HpeL+9Citm9mvg+ha6OKCPc65qv0bViqG0\nwWv0ABg3blwbvFTmKykpiXoIaaF55hbNM7fkyzwhr+baA3gp1W+yt5WVO4A/7aFPciWkORuALyUd\n6xo6F/+1axN9XCv6bGmhqgL+UtFY4C3gk1aOWURERHxFpQf+/9KU26uw4pzbDGxuo/d+GfiZmXUO\nrVs5B39p5/VQn1vMrMA5Vx/qs9I5VxfqMzLptc8JjjcrmMtj+zkHERGRfJXyikpcKvdZOdbMTgE+\nBxSY2SnBx6FBl6fwoeSRYC+V4cDNwN3OuZ1Bn8eAHcAfzezzZvYd4Frgt6G3+gNwvJndama9zewq\n4FvAnamam4iIiKSPOedS88JmfwImNHHqK865RUGfY/H7sJwNfAQ8CNzgnGsIvc5JwHT8JaNNwDTn\n3B1J7zUYmAJ8HngHuMk590gbT0lEREQikLKwIiIiItIW9GwgERERyWgKKyIiIpLRci6s6AGKCWZ2\ntZmtCeaw2MySbxXPKGY2yMyeNLN3zazBzM5ros9NZrbezLaZ2dNmVpx0voOZTTezTWa21cxmmVmX\npD5FZvaomdWZWa2Z3R9a+J1SZnaDmS01sy1mttHMnjCzXk30y/Z5XmFmrwbvXWdmL5nZiFyaY1PM\n7KfBn907k45n/VzN7BfB3MIfryf1yfp5BmM4ysweCca5Lfiz3DepT1bP1fz/DcnfzwYzuysj5+ic\ny6kP4BfAJPyeMDVNnG8H/BN/b/gX8c8oeh+4JdTnMOA94CGgD3AhfgHwZaE+PYAPgduA3sDVwE5g\nWNS/B8H4voPfP2YC/hlM9wI1QOeox9bCmEfgH2T5daAeOC/p/PXBHL4GnAT8L7AaaB/q83v83jln\nAafhb617Pul15gOVQD/gy0AVMCNNc5wHjA/+XH0R/xDOt4CDc2yeo4Pv5wlAMXALsB2/aWROzLGJ\nOX8Jv8/UcuDOXPp+Bu//C+AfwJFAl+Dj8BycZyf8w3PvB0rwd7QOBY7LpbkCR4S+j12AIfh/dwdl\n4hzT/hc6jX/gvkvTYWUkPlR0Dh37AVALHBC0r8TfeXRAqM+vgddD7VuBfyS9dgyYF/Xcg7EsBn4X\nahv+TqmfRD22Vo6/gd3DynqgLNTuCHwMXBhqbwe+EerTO3it/kG7T9A+LdRnOLAL6BbBPDsH4zkz\nl+cZvP9m4JJcnCPwGWAl8FXg/2gcVnJirviwUtnC+VyZ52+AhXvokxNzTZrTVKAqU+eYc5eBWiHn\nH6BoZgfifyJ4Jn7M+T8lFWTA+PaFmR2Hfw5UeE5bgCUk5tQPv9FhuM9KYF2oz0Cg1jm3PPTyFfhd\nkQekavwt6BS8dw3k5jzNrJ2ZXQQcAryUi3PEb6/wV+fcs+GDOTjXnuYv0642sxnmt5/ItXmeC/zd\nzGaav1RbaWaXxU/m2FyBT//PGAs8ELQzbo75GFb29ADF/e3T0cw6tME490dnoICmx9dt9+5ZoRv+\nD3hLc+oK7Aj+UjXXpxv+st+nnN8duYY0/96YmeF/mnnBORe/9p8z8zSzk8xsK/6nr3vwP4GtJIfm\nCBAEsVOBG5o4nUtzXQxcjP/J+ArgOGBRsP4gl+Z5PL66vhK/G/rvgWlmNj40xlyZa9w38D+wPxS0\nM26OUT51udUstx6gKBJ3D34jwzOiHkiKvAGcgv9H8FvAw+Y3cMwZZnYMPnAOdYmdt3OScy78DJjX\nzGwpsBa/pu+NaEaVEu2Apc65G4P2q+Y3J70CyNXNRi8F5jvnNuyxZ0SypbJyB36RaHMffdi7Byg2\n9eDD+LmW+rhW9NnTAxTTYRN+oVRT48vYP4x7sAEfFlua0wagvZl13EOf5NXqBcDhpPH3xszuBkYB\nZzvn3gudypl5Oud2OefedM4td879J/AqfvF7zswRf7n1SKDSzHaa2U78YsNJZrYD/1Nmrsy1Eeef\nz1aFX0CdS9/T94AVScdWAN2Dz3NprphZd/wC4vtChzNujlkRVpxzm51zVXv42LXnVwL8Aw6/aGad\nQ8eaeoDi4OA3Ndwn+QGKQ5Jee48PUEyH4Ce8ZYTGF1xyGEIaHzzVlpxza/B/uMNz6oi/7hmf0zL8\nwq1wn974f2Ti35eXgU5mdlro5Yfg/2IuSdX4w4Kg8nX8oyfWhc/l0jyb0A7okGNzrMDf1XUqvop0\nCvB3YAZwinPuTXJnro2Y2WfwQWV9jn1PX8QvFA3rja8i5eLf0UvxoXpe/EBGzjHdK45T/QEci/8H\n47/wAST+D8ihwfl2+J/w5gMn46+/bgRuDr1GR/xK6IfwZfrv4G9T/l6oTw9gK/6uoN7AVfiHLg6N\n+vcgGN+FwDYa37q8GTgy6rG1MOZDg+/VqfgV5D8M2scG538SzOFc/H8Q/wtU0/hWunvwtx2ejf+p\n90V2v5VuHv4/lC/hL8GsBB5J0xzvwd95Ngj/E0j846BQn1yY56+COX4Of9vjr/H/sH01V+bYwtyT\n7wbKibkCtwODg+/pl4Gn8f92HpFj8+yHX2d1A/7W+zH4f+svysHvqeFvPf7vJs5l1BzT8huSzg/g\nT/hLIMkfg0N9jsXvb/Fh8JftVqBd0uucBCzE/4e/DriuifcajE+XHwffxPFRzz9pfFcFfxA/xifc\nflGPaQ/jPQsfUpK/d38M9ZmMD5Lb8HdfFSe9RgfgLvylsK3AX4AuSX064X/yrcMHh/uAQ9I0x6bm\nVw9MSOqX7fO8H39p9mP8T2hPEQSVXJljC3N/llBYyZW54rdmeCf4nq4DHiO090iuzDMYwyj8njLb\ngH8BlzbRJ+vnCgzD//tT3Mz5jJmjHmQoIiIiGS0r1qyIiIhI/lJYERERkYymsCIiIiIZTWFFRERE\nMprCioiIiGQ0hRURERHJaAorIiIiktEUVkRERCSjKayIiIhIRlNYERERkYymsCIiIiIZ7f8Dpoqc\nG+gmzvAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x183d8c28fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#read data\n",
    "dataframe = pd.read_fwf('input/brain_body.txt')\n",
    "x_values = dataframe[['Brain']]\n",
    "y_values = dataframe[['Body']]\n",
    "\n",
    "#train model on data\n",
    "body_reg = linear_model.LinearRegression()\n",
    "body_reg.fit(x_values, y_values)\n",
    "\n",
    "#visualize results\n",
    "plt.scatter(x_values, y_values)\n",
    "plt.plot(x_values, body_reg.predict(x_values))\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Ail9Bv9m/kITU1SJJIDvGtFBjs187jfUSv8jVQJGfRKBB2qyLx14O5LOg6/y0Lr8RcYLa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\nx9RoNNLcjhgExZ5vdfDYaftSqSQN1Fb3h0T6fDqdlnpigLSPVqu9qce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XovJ9qstsICiK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\n14H//w98EXfhxCHcIQJ5Hjw7HIMRpU9XP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      "text/plain": [
       "<matplotlib.figure.Figure at 0x183d8db3f28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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Yt28fANaSTmXChAn46U9/igsuuEBbRNBmsyEUCmH16tX46quvBEfYcy666CLc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\ntG1t09QBogAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x183d8c9c320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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UgYSWfxM0HUKMBG0ao9HI5cuXlYahN9ox4NZbb+W9995j/vz57Nixw6q+Ru5K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\nMAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x183d8df9320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "\n",
    "from sklearn import datasets, linear_model\n",
    "\n",
    "diabetes = datasets.load_diabetes()\n",
    "indices = (0, 1)\n",
    "\n",
    "X_train = diabetes.data[:-20, indices]\n",
    "X_test = diabetes.data[-20:, indices]\n",
    "y_train = diabetes.target[:-20]\n",
    "y_test = diabetes.target[-20:]\n",
    "\n",
    "ols = linear_model.LinearRegression()\n",
    "ols.fit(X_train, y_train)\n",
    "def plot_figs(fig_num, elev, azim, X_train, clf):\n",
    "    fig = plt.figure(fig_num, figsize=(4, 3))\n",
    "    plt.clf()\n",
    "    ax = Axes3D(fig, elev=elev, azim=azim)\n",
    "\n",
    "    ax.scatter(X_train[:, 0], X_train[:, 1], y_train, c='k', marker='+')\n",
    "    ax.plot_surface(np.array([[-.1, -.1], [.15, .15]]),\n",
    "                    np.array([[-.1, .15], [-.1, .15]]),\n",
    "                    clf.predict(np.array([[-.1, -.1, .15, .15],\n",
    "                                          [-.1, .15, -.1, .15]]).T\n",
    "                                ).reshape((2, 2)),\n",
    "                    alpha=.5)\n",
    "    ax.set_xlabel('X_1')\n",
    "    ax.set_ylabel('X_2')\n",
    "    ax.set_zlabel('Y')\n",
    "    ax.w_xaxis.set_ticklabels([])\n",
    "    ax.w_yaxis.set_ticklabels([])\n",
    "    ax.w_zaxis.set_ticklabels([])\n",
    "\n",
    "#Generate the three different figures from different views\n",
    "elev = 43.5\n",
    "azim = -110\n",
    "plot_figs(1, elev, azim, X_train, ols)\n",
    "\n",
    "elev = -.5\n",
    "azim = 0\n",
    "plot_figs(2, elev, azim, X_train, ols)\n",
    "\n",
    "elev = -.5\n",
    "azim = 90\n",
    "plot_figs(3, elev, azim, X_train, ols)\n",
    "\n",
    "plt.show()\n"
   ]
  }
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